Least Common Multiple of 7026 and 7034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7026 and 7034 the smallest integer that is 24710442 that is divisible by both numbers.

Least Common Multiple (LCM) of 7026 and 7034 is 24710442.

LCM(7026,7034) = 24710442

LCM of 7026 and 7034

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7026 and 7034

LCM of 7026 and 7034 is 24710442

Least common multiple can be found by multiplying the highest exponent prime factors of 7026 and 7034. First we will calculate the prime factors of 7026 and 7034.

Prime Factorization of 7026


2 7026
3 3513
1171 1171
1

Prime factors of 7026 are 2, 3,1171. Prime factorization of 7026 in exponential form is:

7026 = 21×31×11711

Prime Factorization of 7034


2 7034
3517 3517
1

Prime factors of 7034 are 2,3517. Prime factorization of 7034 in exponential form is:

7034 = 21×35171

Now multiplying the highest exponent prime factors to calculate the LCM of 7026 and 7034.

LCM(7026,7034) = 21×31×11711×35171
LCM(7026,7034) = 24710442

Factors of 7026

List of positive integer factors of 7026 that divides 7026 without a remainder.

1, 2, 3, 6, 1171, 2342, 3513, 7026

Factors of 7034

List of positive integer factors of 7034 that divides 7034 without a remainder.

1, 2, 3517, 7034

Least Common Multiple of 7026 and 7034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7026 and 7034, than apply into the LCM equation.

GCF(7026,7034) = 2
LCM(7026,7034) = ( 7026 × 7034) / 2
LCM(7026,7034) = 49420884 / 2
LCM(7026,7034) = 24710442

Properties of LCM 7026 and 7034

(i) The LCM of 7034 and 7026 is associative

LCM of 7026 and 7034 = LCM of 7034 and 7026

Related Least Common Multiples of 7026

Related Least Common Multiples of 7034

Frequently Asked Questions on LCM of 7026 and 7034

1. What is the LCM of 7026 and 7034?

Answer: LCM of 7026 and 7034 is 24710442.

2. What are the Factors of 7026?

Answer: Factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026. There are 8 integers that are factors of 7026. The greatest factor of 7026 is 7026.

3. What are the Factors of 7034?

Answer: Factors of 7034 are 1, 2, 3517, 7034. There are 4 integers that are factors of 7034. The greatest factor of 7034 is 7034.

4. How to Find the LCM of 7026 and 7034?

Answer:

Least Common Multiple of 7026 and 7034 = 24710442

Step 1: Find the prime factorization of 7026

7026 = 2 x 3 x 1171

Step 2: Find the prime factorization of 7034

7034 = 2 x 3517

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 24710442 = 2 x 3 x 1171 x 3517

Step 4: Therefore, the least common multiple of 7026 and 7034 is 24710442.